106011635140 has 24 divisors (see below), whose sum is σ = 225674086680. Its totient is φ = 41823767808.

The previous prime is 106011635111. The next prime is 106011635161. The reversal of 106011635140 is 41536110601.

It can be written as a sum of positive squares in 4 ways, for example, as 621804096 + 105389831044 = 24936^2 + 324638^2 .

It is a super-2 number, since 2×106011635140² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106011635099 and 106011635108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36303895 + ... + 36306814.

It is an arithmetic number, because the mean of its divisors is an integer number (9403086945).

Almost surely, 2^106011635140 is an apocalyptic number.

106011635140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106011635140 is an abundant number, since it is smaller than the sum of its proper divisors (119662451540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106011635140 is a wasteful number, since it uses less digits than its factorization.

106011635140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72610791 (or 72610789 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

Adding to 106011635140 its reverse (41536110601), we get a palindrome (147547745741).

The spelling of 106011635140 in words is "one hundred six billion, eleven million, six hundred thirty-five thousand, one hundred forty".